Finding the Third Proportional to 21,188 and 45,614

Step by Step Solution

1. Step 1: Write the proportion equation
   21,188 : 45,614 = 45,614 : x
2. Step 2: Convert to fraction form
   21,188/45,614 = 45,614/x
3. Step 3: Cross multiply
   21,188x = 45,614 × 45,614
4. Step 4: Simplify right side
   21,188x = 2,080,636,996
5. Step 5: Solve for x
   x = 2,080,636,996/21,188
6. Step 6: Final answer
   x = 98,198.84